In the cyclotron, as radius of the circular path of the charged partic

1.	In the cyclotron, as radius of the circular path of the charged particle increases (ω = angular velocity, v = linear velocity) (1) ω only increases v remains constant (2) v increases, ω decreases (3) both ω and v increases (4) v increases, ω remains constant
Answer» Correct option (4) v increases, ω remains constant Explanation: Bqv = mv2/r v = (Bq/m)r As r increases, v increases. ω = v/r = Bq/m = constant (if mass is taken constant)

In the cyclotron, as radius of the circular path of the charged particle increases (ω = angular velocity, v = linear velocity) (1) ω only increases v remains constant (2) v increases, ω decreases (3) both ω and v increases (4) v increases, ω remains constant

Answer»

Correct option (4) v increases, ω remains constant

Explanation:

Bqv = mv2/r

v = (Bq/m)r

As r increases, v increases.

ω = v/r = Bq/m = constant (if mass is taken constant)

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In the cyclotron, as radius of the circular path of the charged particle increases (ω = angular velocity, v = linear velocity) (1) ω only increases v remains constant (2) v increases, ω decreases (3) both ω and v increases (4) v increases, ω remains constant

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